Free Printable FINAL 1st period

1.

Equal _____ of the congruent circles subtend equal angles at the centers.

a)

Segments

b)

Radii

c)

Arcs

d)

Chords

2.

The angle subtended by the diameter of a semi-circle is:

a)

90

b)

45

c)

180

d)

60

3.

a)

A

b)

B

c)

C

d)

D

4.

a)

a

b)

b

c)

c

d)

d

5.

a)

A

b)

B

c)

C

d)

D

6.

a)

A

b)

B

c)

C

d)

D

7.

a)

A

b)

B

c)

C

d)

D

8.

a)

A

b)

B

c)

C

d)

D

9.

Solve for the missing angle.

a)

45^o

b)

90^o

c)

22.5^o

d)

128^o

10.

Find the measure of arc JH

a)

93

b)

130

c)

120

d)

95

11.

Solve for x.

a)

5

b)

20

c)

40

d)

85

12.

If the measure of arc ABC = 210°, what is the measure of ∠AOC?

a)

150°

b)

100°

c)

210°

d)

105°

13.

What is the measure of ∠PTQ?

a)

100°

b)

140°

c)

180°

d)

120°

14.

What is the measure of arc AB?

a)

140

b)

142

c)

180

d)

153

15.

What is the measure of arc AD?

a)

38

b)

142

c)

180

d)

153

16.

What is the measure of arc JK?

a)

55°

b)

60°

c)

120°

d)

135°

17.

What is the measure of arc WXZ?

a)

231

b)

255

c)

168

d)

200

18.

Which best describes line AB?

a)

chord

b)

secant

c)

tangent

d)

diameter

19.

Which best describes line AB?

a)

chord

b)

secant

c)

tangent

d)

diameter

20.

Set of all points in the plane equidistant from a single point called the center

a)

circle

b)

chord

c)

polygon

d)

radius

21.

This is a picture of ___________.

a)

Major Arc

b)

Minor Arc

c)

Central Angle

d)

Inscribed Angle

22.

This is a picture of ___________.

a)

Chord

b)

Diameter

c)

Radius

d)

Inscribed Angle

23.

Determine the measure of arc KL

a)

268

b)

92

c)

88

d)

272

24.

Find the measure of arc JH

a)

93

b)

130

c)

120

d)

95

25.

Find the measure of <XTY

a)

65

b)

98

c)

70

d)

52

26.

What is the relationship between a central angle and its arc?

a)

The angle is half of the arc.

b)

The arc is half of the angle.

c)

The arc is smaller than the angle.

d)

They are congruent.

27.

Name a minor arc

a)

AD

b)

ADB

c)

AB

d)

CD

28.

What is the measure of arc AB?

a)

140

b)

142

c)

180

d)

153

29.

What is the measure of arc WYZ?

a)

231

b)

255

c)

168

d)

200

30.

a)

x = 160

b)

x = 40

c)

x = 80

d)

x = 360

31.

What is the measure of ∠PTQ?

a)

100°

b)

140°

c)

180°

d)

120°

32.

Solve for x.

a)

5

b)

20

c)

40

d)

85

33.

Using the circle with center O, identify a secant.

a)

MN

b)

EC

c)

OC

d)

DF

34.

Solve

a)

50°

b)

58°

c)

115°

d)

226°

35.

Solve

a)

80°

b)

40°

c)

180°

d)

140°

36.

Solve

a)

22°

b)

42°

c)

242°

d)

12°

37.

Find the value of ∠A.

a)

25°

b)

30°

c)

35°

d)

90°

38.

Name all the angles that have V as a vertex.

a)

A

b)

B

c)

C

d)

D

39.

Solve

a)

25°

b)

125°

c)

145°

d)

45°

40.

Solve for x

a)

x = 77

b)

x = 7.5

c)

x = 8

d)

x = 18

41.

Solve for x

a)

x = 8

b)

x = 6

c)

x = 4

d)

x = 2

42.

Name the angle with one arc

a)

< FIE

b)

< EIR

c)

< FIR

d)

< RIE

43.

Name the angle with two arcs

a)

< FIE

b)

< EIR

c)

< FER

d)

< FIR

44.

Find HG.

a)

8

b)

9

c)

10

d)

11

45.

Find ST.

a)

11

b)

12

c)

13

d)

14

46.

RM=

a)

RM=6

b)

RM=3

c)

RM=12

d)

RM=9

47.

Find AB - Hint: count the spaces on the number line

a)

3

b)

4

c)

5

d)

2

48.

Find AC

a)

7

b)

8

c)

22

d)

23

49.

Find AB.

a)

69

b)

20

c)

19

d)

11

50.

Find the measure of PQ

a)

PQ=4

b)

PQ=2

c)

PQ=8

d)

PQ=16

51.

Find KL.

a)

18

b)

15

c)

6

d)

20

52.

Use the picture to write the correct Segment Addition statement.

a)

AB + BC = AC

b)

BC + BA = BC

c)

BA + AC = BC

d)

AB + BC = AC

53.

Find BD - Hint: count the spaces on the number line

a)

3

b)

4

c)

5

d)

2

54.

Find the lenght of AC.

a)

4

b)

6

c)

14

d)

16

55.

XY =

a)

6

b)

28

c)

11

d)

7

56.

Find the length of DE

a)

58

b)

6

c)

36

d)

61

57.

Find AC

a)

8.5

b)

9.5

c)

25.5

d)

10

58.

Find XY

a)

16

b)

32

c)

24

d)

12

59.

XY=

a)

15

b)

17

c)

6

d)

7

60.

Set up the problem so that you can solve for X.

a)

sin X = 41/28

b)

tan X = 41/28

c)

cos X = 28/41

d)

sin X = 28/41

61.

Solve for the missing angle

a)

50.5 degrees

b)

12.7 degrees

c)

36.9 degrees

d)

72.2 degrees

62.

Solve for x. Round to the nearest tenth.

a)

15.3

b)

16.6

c)

24.1

d)

24.3

63.

Find the measure of the indicated angle (?) round to the nearest tenth.

a)

9.4

b)

55.2

c)

20.15

d)

19.4

64.

Find the measure of the missing angle.

a)

64^o

b)

26^o

c)

61^o

d)

8^o

65.

Solve for the missing angle

a)

50.2

b)

93.1

c)

12.6

d)

42.2

66.

Find the measure of the missing angle.

a)

49^o

b)

50^o

c)

41^o

d)

33^o

67.

Choose the correct ratio.

a)

sin(37)=x/14

b)

cos(37)=x/14

c)

tan(37)=x/14

d)

sin(37)=14/x

68.

A hawk sitting on a tree branch spots a mouse on the ground 15 feet from the base of the tree. The hawk swoops down toward the mouse at an angle of 30 degrees. What is the distance from the tree branch to the mouse?

a)

7.5 ft

b)

15 ft

c)

26 ft

d)

30 ft

69.

Susan is flying a kite, which gets caught in the top of a tree. Use the diagram to estimate the height of the tree.

a)

63 ft

b)

65 ft

c)

74 ft

d)

87 ft

70.

What is the length of y in this picture?

a)

45

b)

5√2

c)

90

d)

5

71.

What is the length of x in this 45-45-90 triangle?

a)

4√2

b)

4

c)

8

d)

4√3

72.

What is the length of y in this 45-45-90 triangle?

a)

8√2

b)

4√2

c)

4

d)

8

73.

What is the length of u and v in this 30-60-90 triangle?

a)

u = 8 v = 4√3

b)

u = 4√2 v = 8

c)

u = 16 v = 8

d)

u = 4√3 v = 8

74.

What is the length of y in this picture?

a)

45

b)

5√2

c)

90

d)

5

75.

A tourist views a deer from a height of 45 feet. The horizontal distance between the tourist and the deer is 130 feet. At what angle (x) should the tourist hold his camera to photograph the deer? Round your answer to the nearest degree.

a)

19 degrees

b)

45 degrees

c)

71 degrees

d)

138 degrees

76.

Solve for the misssing distance

a)

18.9 meters

b)

19.5 meters

c)

47.2 meters

d)

27.5 meters

77.

A rectangular field is 50 yards wide and 100 yards long. Ethan walks diagonally across the field. How far does he walk?

a)

111.8 yards

b)

115 yards

c)

127.3 yards

d)

119 yards

78.

What is BD?

a)

Chord

b)

Radius

c)

Secant

d)

Tangent

79.

What is AF?

a)

Chord

b)

Radius

c)

Secant

d)

Tangent

80.

What is A?

a)

Point of Tangency

b)

Radius

c)

Circle

d)

Tangent

81.

What is H?

a)

Point of Tangency

b)

Radius

c)

Circle

d)

Tangent

82.

What is HA?

a)

Point of Tangency

b)

Radius

c)

Circle

d)

Tangent

83.

What is BJ?

a)

Secant

b)

Radius

c)

Chord

d)

Tangent

84.

What is DG?

a)

Secant

b)

Radius

c)

Chord

d)

Tangent

85.

What is arc HF?

a)

major arc

b)

Radius

c)

semicircle

d)

minor arc

86.

What is arc DF?

a)

major arc

b)

Radius

c)

semicircle

d)

minor arc

87.

What is arc HCG?

a)

major arc

b)

Radius

c)

semicircle

d)

minor arc

88.

Which triangle congruence theorem can be used to prove the triangles are congruent?

a)

SAS

b)

SSS

c)

ASA

d)

HL

89.

Which triangle congruence theorem can be used to prove the triangles are congruent?

a)

SSS

b)

ASA

c)

AAS

d)

SAS

90.

Which triangle congruence theorem can be used to prove the triangles are congruent?

a)

AAS

b)

SSS

c)

Not enough information given

d)

ASA

91.

Which triangle congruence theorem can be used to prove the triangles are congruent?

a)

AAS

b)

SSS

c)

SAS

d)

SSA

92.

Which triangle congruence theorem can be used to prove the triangles are congruent?

a)

SAS

b)

Not enough information

c)

SSS

d)

AAS

93.

Which congruency statement can be written for the triangles pictured?

a)

$\Delta ACB\cong\Delta ABD$

b)

$\Delta BAC\cong\Delta BAD$

c)

$\Delta CAB\cong\Delta DBA$

d)

$\Delta ADB\cong\Delta BCA$

94.

Which triangle congruence theorem can be used to prove the triangles are congruent?

a)

SSS

b)

SAS

c)

ASA

d)

HL

95.

Use the congruency statement to answer the following:

\angle F=?

a)

$\angle H$

b)

$\angle I$

c)

$\angle G$

d)

not congruent to another angle

96.

∆ABC≅∆XYZ
which is true?

a)

AB≅XY

b)

AB≅YX

c)

AB≅XZ

d)

BC≅CB

97.

Determine which congruency theorem proves the triangles congruent.

a)

SAS

b)

SSS

c)

Neither

98.

Which congruency statement can be written for the triangles pictured?

a)

ΔABC ≅ ΔEDC

b)

ΔACB ≅ ΔEDC

c)

ΔECD ≅ ΔCAB

99.

Which triangle congruence theorem can be used to prove the triangles are congruent?

a)

SAS

b)

ASA

c)

AAS

d)

Not Possible

100.

Which triangle congruence theorem can be used to prove the triangles are congruent?

a)

SSS

b)

SAS

c)

ASA

d)

NONE

101.

Which triangle congruence theorem can be used to prove the triangles are congruent?

a)

SSS

b)

SAS

c)

ASA

d)

NONE

102.

Which congruency statement can be written for the triangles pictured?

a)

$\Delta LEO\cong\Delta OVE$

b)

$\Delta OEV\cong\Delta OLE$

c)

$\Delta OVL\cong\Delta OLV$

d)

$\Delta OLE\cong\Delta OVE$

103.

Which triangle congruence theorem can be used to prove the triangles are congruent?

a)

SSS

b)

SAS

c)

ASA

d)

AAS

104.

What additional information is needed to prove the 2 triangles are congruent by the listed theorem?

a)

$\overline{MK}\ =\overline{GI}$

b)

$\angle GIH\ =\ \angle MKL$

c)

$\angle MLK=\angle GHI$

105.

What additional information is needed to prove the 2 triangles are congruent by the listed theorem?

a)

$\overline{RT}\ =\overline{XZ}$

b)

$\angle RST\ =\ \angle XYZ$

c)

$\overline{SR}\ =\overline{YX}$

106.

Tell whether the triangles are similar or not.

a)

a

b)

b

107.

Are these two triangles similar? Which similarity criterion do you use to prove it?

a)

Yes, AA

b)

Yes, SAS

c)

Yes, SSS

d)

Not Similar

108.

State if the triangles in each pair are similar. If so, state how you know they are similar.

a)

Yes, AA Similarity

b)

Yes, SSS Similarity

c)

Yes, SAS Similarity

d)

Not Similar

109.

Write the equation of a circle with center (7, 0) with radius 3.

a)

(x - 7)² + y² = 9

b)

x² + (y -7)² = 9

c)

(x - 7)² + y² = 3

d)

x² + (y -7)² = 3

110.

What are the coordinates of the center and the radius of the circle with equation (x - 4)² + (y - 3)² = 25 ?

a)

Center (4, 3)

Radius = 5 units

b)

Center (4, 3)

Radius = 25 units

c)

Center (-4, -3)

Radius = 25 units

d)

Center (-4, -3)

Radius = 5 units

111.

Write the standard equation of the circle with the given center and radius; center (0, 0) and radius of 3.

a)

x²+ y²= 4

b)

x²+ y²= 81

c)

x²+ y²= 9

d)

x²+ y²= 3

112.

What is the equation of the circle?

a)

(x+1)² + (y +1)² = 3

b)

(x+1)² + (y -1)² = 3

c)

(x+1)² + (y +1)² = 9

d)

(x-1)² + (y -1)² = 9

113.

What is the radius of the circle with this equation of (x - 5)² + (y + 7)² = 8?

a)

4

b)

8

c)

4√2

d)

2√2

114.

What is the radius of the circle given by the equation (x - 7)² + (y + 3)² = 25?

a)

3

b)

5

c)

10

d)

25

115.

The diameter of a circle has length 12. The center is at (-5, 2). Give the equation of the circle.

a)

(x - 2)²+ (y + 5)²= 36

b)

(x - 5)² + (y + 2)² = 6

c)

(x + 5)²+ (y - 2)²= 36

d)

(x + 2)²+ (y - 5)²= 6

116.

The diameter of a circle has length 12. The center is at (-5, 2). Give the equation of the circle.

a)

(x - 2)²+ (y + 5)²= 36

b)

(x - 5)² + (y + 2)² = 6

c)

(x + 5)²+ (y - 2)²= 36

d)

(x + 2)²+ (y - 5)²= 6

117.

Write the equation of the circle with center C( -5 , 8 ) and radius = 7

a)

( x - 5 )² + ( y + 8 )² = 14

b)

( x - 5 )² + ( y - 8 )² = 49

c)

( x - 5 )² + ( y + 8 )² = 49

d)

( x + 5 )² + ( y - 8 )² = 49

118.

Which of the following is the equation of a circle with a center at (-1,3) and a radius of 4?

a)

(x-1)²+(y+3)²=4

b)

(x-1)²+(y+3)²=16

c)

(x+1)²+(y-3)²=4

d)

(x+1)²+(y-3)²=16

119.

A flattened crop circle has a diameter of 300 feet. If this circle is represented graphically, with the center located at the coordinates (3,4), which equation represents the boundary of the crop circle?

a)

x²+y²=90,000

b)

(x-3)²+(y-4)²=22,500

c)

(x+3)²+(y+4)²=22,500

d)

(x-3)²+(y-4)²=90,000

120.

Which circle has a center at (-3,-6) and passes through the point (-4,8)?

a)

(x-3)²+(y-6)²=197

b)

(x+3)²+(y+6)²=197

c)

(x-3)²+(y-6)²=32

d)

(x+3)²+(y+6)²=32

121.

Which choice is the equation of a circle with center (-3,4) and passing through (-6,0)?

a)

(x+3)²+(y-4)²=25

b)

(x+3)²+(y-4)²=27

c)

(x-3)²+(y+4)²=25

d)

(x-3)²+(y+4)²=27

122.

a)

(x+7)²+(y-4)²=18

b)

(x-7)²+(y+4)²=324

c)

(x+7)²+(y-4)²=324

d)

(x+7)²+(y-4)²=81

e)

(x-7)²+(y+4)²=81

123.

a)

(x+2)²+(y+8)²=25

b)

(x-2)²+(y-8)²=10

c)

(x+2)²+(y+8)²=10

d)

(x+2)²+(y+8)²=100

e)

(x-2)²+(y-8)²=100

124.

a)

(x-3)²-(y+1)²=8

b)

(x-3)²+(y+1)²=8

c)

(x+3)²+(y-1)²=16

d)

(x-3)²-(y+1)²=16

e)

(x-3)²+(y+1)²=16

125.

a)

(x+5)²+(y+2)²=9

b)

(x-2)²+(y-5)²=9

c)

(x+2)²+(y+5)²=9

d)

(x+2)²+(y+5)²=3

e)

(x-2)²+(y-5)²=6

126.

a)

(x+6)²+(y-1)²=14

b)

(x-6)²+(y+1)²=49

c)

(x+6)²+(y-1)²=49

d)

(x+6)²+(y-1)²=7

e)

(x-6)²+(y+1)²=7

127.

a)

(x+4)²+(y+13)²=16

b)

(x-4)²+(y-13)²=16

c)

(x-4)²+(y-13)²=64

d)

(x+4)²+(y+13)²=256

e)

(x-4)²+(y-13)²=256

128.

What is the equation of this circle?

a)

(x - 2)² + (y - 1)² = 4

b)

(x + 2)²+(y + 1)²=16

c)

(x + 2)² + (y - 1)² = 4

d)

(x + 2)²+(y - 1)²=16

129.

Write the equation of the circle with center C( -5, 8 ) and radius = 7.

a)

( x - 5 )² + ( y + 8 )² = 14

b)

( x - 5 )² + ( y - 8 )² = 49

c)

( x - 5 )² + ( y + 8 )² = 49

d)

( x + 5 )² + ( y - 8 )² = 49

130.

What is the equation of a circle with radius 4 and center (0, 8)?

a)

x² + (y-8)² = 16

b)

(x-8)² + y² = 4

c)

x² + (y-8)² = 4

d)

x² + (y+8)² = 16

131.

What is the radius of the circle

(x+7)²+(y-2)²=144?

a)

7

b)

12

c)

13

132.

What is the radius of the circle with this equation of (x-5)²+(y+7)²=8?

a)

4

b)

8

c)

4√2

d)

2√2

133.

In the equation (x+2)²+(y+3)²=49, the radius of the circle is...

a)

14

b)

98

c)

7

d)

49

134.

Which of the following graphs represents this circle equation -- $\left(x-4\right)^2+\left(y+2\right)^2=36$

a)

b)

c)

d)

135.

Which of the following graphs represents this circle equation -- $x^{2\ }+\ \left(y-6\right)^{2\ }=\ 25$

a)

b)

c)

d)

136.

What are the coordinates of the center and the radius of the circle with the equation:

(x - 4)² + (y - 3)² = 25 ?

a)

Center (-4,-3)

Radius = 25 units

b)

Center (4,3)

Radius = 5 units

c)

Center (4,3)

Radius = 25 units

d)

Center (-4,-3)

Radius = 5 units

137.

In the equation (x-3)²+(y-2)²=16, the center of the circle is...

a)

(3,2)

b)

(-3, -2)

c)

(-2, -3)

d)

(2, 3)

138.

In the equation (x+2)²+(y-3)²=4, the radius of the circle is...

a)

4

b)

2

c)

3

d)

16

139.

In the equation (x-4)²+(y-3)²=25, the radius is

a)

4

b)

3

c)

5

d)

25

140.

In the equation (x+2)²+(y-3)²=4, the center of the circle is at...

a)

(-2, 3)

b)

(-3, 2)

c)

(2, -3)

d)

(3, -2)

141.

Is this statement TRUE or FALSE:
Circle A, with a radius of 5, is similar to Circle B, with a radius of 7

a)

TRUE

b)

FALSE

c)

Not enough information

d)

Only when the fifth cat catches the 7th mouse

142.

A tangent to a circle is ________________________ to the radius drawn to the point of tangency.

a)

congruent

b)

perpendicular

c)

complimentary

d)

supplementary

143.

What are the coordinates of the center and the radius of the circle with equation (x - 4)² + (y - 3)² = 25 ?

a)

Center (4, 3)

Radius = 5 units

b)

Center (4, 3)

Radius = 25 units

c)

Center (-4, -3)

Radius = 25 units

d)

Center (-4, -3)

Radius = 5 units

FINAL 1st period

Total questions: 143

Worksheet time: 36hrs 45mins

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